Search a number
-
+
505411434 = 23311277351
BaseRepresentation
bin11110000111111…
…111011101101010
31022020000120011000
4132013333131222
52013341131214
6122052415430
715344632503
oct3607773552
91266016130
10505411434
1123a323100
12121317576
138092b228
144b1a3baa
152e586809
hex1e1ff76a

505411434 has 48 divisors (see below), whose sum is σ = 1234537920. Its totient is φ = 153153000.

The previous prime is 505411409. The next prime is 505411447. The reversal of 505411434 is 434114505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 505411398 and 505411407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32142 + ... + 45209.

It is an arithmetic number, because the mean of its divisors is an integer number (25719540).

Almost surely, 2505411434 is an apocalyptic number.

505411434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

505411434 is an abundant number, since it is smaller than the sum of its proper divisors (729126486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505411434 is a wasteful number, since it uses less digits than its factorization.

505411434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77384 (or 77367 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 505411434 is about 22481.3574768073. The cubic root of 505411434 is about 796.5536296928.

Adding to 505411434 its reverse (434114505), we get a palindrome (939525939).

The spelling of 505411434 in words is "five hundred five million, four hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 77351 154702 232053 464106 696159 850861 1392318 1701722 2088477 2552583 4176954 5105166 7657749 9359471 15315498 18718942 22973247 28078413 45946494 56156826 84235239 168470478 252705717 505411434